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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 3, Pages 475–494
DOI: https://doi.org/10.4213/tmf6516 (Mi tmf6516) 		 
This article is cited in 44 scientific papers (total in 44 papers)

Stable exact solutions in cosmological models with two scalar fields

I. Ya. Aref'evaa, N. V. Bulatovb, S. Yu. Vernovc

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (530 kB) Citations (44)
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DOI: https://doi.org/10.4213/tmf6516
Abstract: We consider the stability of isotropic solutions for two-field models in the Bianchi I metric. We prove that the sufficient conditions for Lyapunov stability in the Friedmann–Robertson–Walker metric ensure the stability under anisotropic perturbations in the Bianchi I metric and also under perturbations of the energy density for cold dark matter. We find sufficient conditions for the Lyapunov stability of isotropic fixed points for the system of Einstein equations. We use the superpotential method to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for models related to string field theory.
Keywords: cosmology, stability, Bianchi metric.
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 3, Pages 788–803
DOI: https://doi.org/10.1007/s11232-010-0063-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Ya. Aref'eva, N. V. Bulatov, S. Yu. Vernov, “Stable exact solutions in cosmological models with two scalar fields”, TMF, 163:3 (2010), 475–494; Theoret. and Math. Phys., 163:3 (2010), 788–803
Citation in format AMSBIB
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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